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Analysis Seminar

Monday, December 5, 2022
3:00pm to 4:00pm
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Linde Hall 187
Dimer model fluctuations via t-embeddings
Matthew Nicoletti, Department of Mathematics, MIT,

Chelkak, Laslier, and Russkikh introduce a new type of graph embedding called a t-embedding, and use it to prove the convergence of dimer model height fluctuations to a Gaussian Free Field in a naturally associated metric, under certain technical assumptions. Building on a work of Chelkak and Ramassamy, we study the properties of t-embeddings of uniform Aztec diamond graphs, and in particular utilize the integrability of the "shuffling algorithm" on these graphs to provide a precise asymptotic analysis of t-embeddings, and in particular verify the validity of the technical assumptions required for convergence.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].